Large Time Behavior for a SimplifiedN-Dimensional Model of Fluid–Solid Interaction

DOI10.1081/PDE-200050080zbMath1080.35088MaRDI QIDQ4678928

Alexandre Munnier, Enrique Zuazua

Publication date: 23 May 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

fluid-solid interactionheat kernellarge time behaviorsimilarity variablesasymptotic expansion termsheat-ODE coupled system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Heat equation (35K05) Asymptotic expansions of solutions to PDEs (35C20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (8)

On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid ⋮ Exact controllability of a fluid--rigid body system ⋮ Asymptotic profile for the interaction of a rigid ball and an incompressible viscous fluid ⋮ Long-time behavior of a point mass in a one-dimensional viscous compressible fluid and pointwise estimates of solutions ⋮ Stabilization of a fluid-rigid body system ⋮ Long-time behavior for the two-dimensional motion of a disk in a viscous fluid ⋮ Stabilization of a rigid body moving in a compressible viscous fluid ⋮ LACK OF COLLISION IN A SIMPLIFIED 1D MODEL FOR FLUID–SOLID INTERACTION

Cites Work

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• Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid
• Variational problems related to self-similar solutions of the heat equation
• Large time behavior for convection-diffusion equations in irⁿwith asymptotically constant diffusion
• Large Time Behavior for a Simplified 1D Model of Fluid–Solid Interaction†
• Existence of solutions for the equations
• On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models
• Large-Time Behavior in Incompressible Navier–Stokes Equations

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